Corpus ID: 237571647

Extremal Chaos

@inproceedings{Kundu2021ExtremalC,
  title={Extremal Chaos},
  author={Sandipan Kundu},
  year={2021}
}
  • Sandipan Kundu
  • Published 17 September 2021
  • Physics
In maximally chaotic quantum systems, a class of out-of-time-order correlators (OTOCs) saturate the Maldacena-Shenker-Stanford (MSS) bound on chaos. Recently, it has been shown that the same OTOCs must also obey an infinite set of (subleading) constraints in any thermal quantum system with a large number of degrees of freedom. In this paper, we find a unique analytic extension of the maximally chaotic OTOC that saturates all the subleading chaos bounds which allow saturation. This extremally… Expand

Figures from this paper

Subleading Bounds on Chaos
  • Sandipan Kundu
  • Physics
  • 2021
Chaos, in quantum systems, can be diagnosed by certain out-of-time-order correlators (OTOCs) that obey the chaos bound of Maldacena, Shenker, and Stanford (MSS). We begin by deriving a dispersionExpand
Prepared for submission to JHEP
In order to study the chaotic behavior of a system with non-local interactions, we will consider weakly coupled non-commutative field theories. We compute the Lyapunov exponent of this exponentialExpand

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